Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

Table of contents

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[361.] f L, k M :: {E e/FE}, {Ii/KI} :: {CD/FE} = {BA/FE} -{BE/FE}, {GH/KI} = {BA/KI} - {BI/KI}
[362.] fL, kM :: {BA/FE}-{FE/BA}, {BA/KI} = {KI/BA}
[363.] SCHOLIUM 8. Illuſtratio quorundam quæ ad retardationem ſpectant.
[364.] LIBRI II. Pars III. De Aëre, & aliis Fluidis Elaſticis. CAPUT XIII. Aërem Fluidorum proprietates habere.
[365.] Definitio 1.
[366.] Definitio 2.
[367.] Experimentum 1.
[368.] Experimentum 2.
[369.] Experimentum 3.
[370.] Experimentum 4.
[371.] CAPUT XIV. De Aëris Elaſticitate.
[372.] Experimentum. 1.
[373.] Machina, Qua Aëris Dilatationes, ut & Vires comprimentes, conferuntur inter ſe.
[374.] Experimentum 2.
[375.] Experimentum 3.
[376.] Experimentum 4.
[377.] CAPUT XV. De quibuſdam aliis Fluidis Elaſticis.
[378.] Experimentum I.
[379.] Experimentum 2.
[380.] CAPUT XVI. De Antlia Pneumatica.
[381.] Machina Pneumatica.
[382.] CAPUT XVII. Experimenta varia circa Aëris Gravitatem & hujus Elaſticitatem.
[383.] Experimentum 1.
[384.] Experimentum 2.
[385.] Experimentum 3.
[386.] Experimentum 4.
[387.] Experimentum 5.
[388.] Experimentum 6.
[389.] Experimentum 7.
[390.] Experimentum 8.
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          <pb o="307" file="0411" n="448" rhead="MATHEMATICA. LIB. II. CAP. XV."/>
          <p>
            <s xml:id="echoid-s11105" xml:space="preserve">Dum ſluida elaſtica in corporibus hærent, ad fluida ela-
              <lb/>
              <note position="right" xlink:label="note-0411-01" xlink:href="note-0411-01a" xml:space="preserve">1083.</note>
            ſtica non magis referri poſſunt, quàm aqua, antequam in
              <lb/>
            vaporem convertatur, pro vapore haberi poteſt,</s>
          </p>
          <p>
            <s xml:id="echoid-s11106" xml:space="preserve">Spatium autem occupatum, a materia elaſtica, dum in
              <lb/>
            ipſis corporibus hæret, exiguum admodum eſt collatum
              <lb/>
            cum ſpatio quod occupat, dum elaſticitatem exerit, præ-
              <lb/>
            cipue ſi parum comprimatur.</s>
            <s xml:id="echoid-s11107" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11108" xml:space="preserve">Aqua, dum ſe in vaporem convertit, licet hic a ponde-
              <lb/>
              <note position="right" xlink:label="note-0411-02" xlink:href="note-0411-02a" xml:space="preserve">1084.</note>
            re totius atmoſphæræ comprimatur, ad mi imum decies & </s>
            <s xml:id="echoid-s11109" xml:space="preserve">
              <lb/>
            quater millies ſeſe expandit, inipſis illis locis ex quibus aë-
              <lb/>
            rem excludit; </s>
            <s xml:id="echoid-s11110" xml:space="preserve">hanc autem expanſionem in immenſum poſ-
              <lb/>
            ſe augeri, ſublata atmoſphæræ preſſione, quis non vi-
              <lb/>
            det?</s>
            <s xml:id="echoid-s11111" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11112" xml:space="preserve">Aqua fluidum continet Elaſticum, quod calore, frigore,
              <lb/>
              <note position="right" xlink:label="note-0411-03" xlink:href="note-0411-03a" xml:space="preserve">1085.</note>
            aut ſublata aëris preſſione ex hac ſeparatur, hancque ad-
              <lb/>
            modum ſubitaneam obſervamus ſeparationem, ſi ſubito o-
              <lb/>
            mnis preſſio tollatur.</s>
            <s xml:id="echoid-s11113" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1590" type="section" level="1" n="378">
          <head xml:id="echoid-head517" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          I.</head>
          <p>
            <s xml:id="echoid-s11114" xml:space="preserve">Vas vitreum AB exactiſſimè aqua repletur; </s>
            <s xml:id="echoid-s11115" xml:space="preserve">in extremi-
              <lb/>
              <note position="right" xlink:label="note-0411-04" xlink:href="note-0411-04a" xml:space="preserve">1086.</note>
            tate B cum ipſo cohæret cylindrus æneus, ut, ope cochleæ,
              <lb/>
              <note position="right" xlink:label="note-0411-05" xlink:href="note-0411-05a" xml:space="preserve">TAB XXXVIII
                <lb/>
              fig. 8.</note>
            ipſi jungatur antlia, quæ in fig. </s>
            <s xml:id="echoid-s11116" xml:space="preserve">6, Tab 42. </s>
            <s xml:id="echoid-s11117" xml:space="preserve">exhibetur.</s>
            <s xml:id="echoid-s11118" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11119" xml:space="preserve">Dum antliæ embolus extrahitur, aqua gravitate in an-
              <lb/>
            tliam deſcendit, locuſque in ſuperiori vaſis parte aquâ & </s>
            <s xml:id="echoid-s11120" xml:space="preserve">
              <lb/>
            aëre vacuus datur. </s>
            <s xml:id="echoid-s11121" xml:space="preserve">Statim etiam ubique in aquâ innume-
              <lb/>
            ræ bullæ fluidi elaſtici, eodem momento, ſeſe demonſtrant,
              <lb/>
            totaque aqua hiſce bullis albeſcit.</s>
            <s xml:id="echoid-s11122" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11123" xml:space="preserve">Fluidum hoc elaſticum ab aëre, quo Telluris ſuperficies
              <lb/>
              <note position="right" xlink:label="note-0411-06" xlink:href="note-0411-06a" xml:space="preserve">1087.</note>
            obtegitur, differt, licet magnâ copiâ in aëre detur.</s>
            <s xml:id="echoid-s11124" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1593" type="section" level="1" n="379">
          <head xml:id="echoid-head518" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          2.</head>
          <p>
            <s xml:id="echoid-s11125" xml:space="preserve">Si phiala repleatur aquâ, ex qua igne, aut aliter, omne flui-
              <lb/>
              <note position="right" xlink:label="note-0411-07" xlink:href="note-0411-07a" xml:space="preserve">1088.</note>
            dum elaſticum fuit expulſum, &</s>
            <s xml:id="echoid-s11126" xml:space="preserve">, relictâ exiguâ aëris bullâ,
              <lb/>
            invertatur phiala, aperturaque immergatur aquâ, vaſe quo-
              <lb/>
            cunque contentâ, bulla hæc aërea, in tempore aliquot die-
              <lb/>
            rum, tota intrabit in aquam, & </s>
            <s xml:id="echoid-s11127" xml:space="preserve">ſucceſſive eodem modo va-
              <lb/>
            riæ bullæ aquam intrant. </s>
            <s xml:id="echoid-s11128" xml:space="preserve">Sed reſpectu ſingularum </s>
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